论文标题
Moore-Gibson-Thompson方程的Cauchy-Dirichlet问题
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation
论文作者
论文摘要
分析了Moore-Gibson-Thompson方程的Cauchy-Dirichlet问题。通过关注非均匀边界数据，提供了两种方法：一种基于双曲方程理论，而另一个使用操作员分离群的理论。这是一个具有特征空间边界的混合双曲线问题。因此，与非特征案例相比，规律性结果表现出一些缺陷。
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation is analyzed. With the focus on non-homogeneous boundary data, two approaches are offered: one is based on the theory of hyperbolic equations, while the other one uses the theory of operator semigroups. This is a mixed hyperbolic problem with a characteristic spatial boundary. Hence, the regularity results exhibit some deficiencies when compared with the non-characteristic case.
